(-2+-3x)(4+-5x)=0

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Solution for (-2+-3x)(4+-5x)=0 equation: 


Simplifying
(-2 + -3x)(4 + -5x) = 0

Multiply (-2 + -3x) * (4 + -5x)
(-2(4 + -5x) + -3x * (4 + -5x)) = 0
((4 * -2 + -5x * -2) + -3x * (4 + -5x)) = 0
((-8 + 10x) + -3x * (4 + -5x)) = 0
(-8 + 10x + (4 * -3x + -5x * -3x)) = 0
(-8 + 10x + (-12x + 15x2)) = 0

Combine like terms: 10x + -12x = -2x
(-8 + -2x + 15x2) = 0

Solving
-8 + -2x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -3x)(4 + -5x) = 0


Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2

Combine like terms: 0 + 2 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {-0.6666666667, 0.8}

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